{
  "annotation_id": "e4333d1d-0651-4ab1-83be-ee1830fb77a7",
  "date_created": "2026-03-02T18:02:13.806000Z",
  "date_modified": "2026-03-02T18:02:13.806000Z",
  "file_hash": "f086af5e9a1896dcb8d0741d5387b515ad624a986d8c1d5cf2d7453a44b82029",
  "private": false,
  "record": {
    "abstract": "We consider arbitrary mixed state in unitary evolution and provide a\ncomprehensive description of corresponding geometric phase in which two\ndifferent points of view prevailing currently can be unified. Introducing an\nancillary system and considering the purification of given mixed state, we find\nthat different results of mixed state geometric phase correspond to different\nchoice of the representation of Hilbert space of the ancilla. Moreover we\ndemonstrate that in order to obtain Uhlmann\u0027s geometric phase it is not\nnecessary to resort to the unitary evolution of ancilla.",
    "arxiv_id": "quant-ph/0501006",
    "authors": [
      "Mingjun Shi",
      "Jiangfeng Du"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "General Description of Mixed State Geometric Phase",
    "url": "https://arxiv.org/abs/quant-ph/0501006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6a9cf662-836b-458d-b790-7ed0ffc932c0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}